Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

Victor Chulaevsky

Advances in Mathematical Physics, 2016, vol. 2016, 1-17

Abstract:

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2129682

DOI: 10.1155/2016/2129682

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